Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Number theory

  1. Dec 4, 2005 #1
    hi everybody, I have a question in math to figure out the general term for the sum of the pth powers of n integers. I found a formula called faulhabers formula to do this question, but I do not understand the method behind it. can someone please help me?
  2. jcsd
  3. Dec 5, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    You can prove it using Euler-MacLaurin summation, where you essentially rewrite the sum as a Stieltjes integral then integrate by parts enough time that the remaining integrand is zero (the p+1 derivitative of x^p vanishes). Look up Euler-MacLaurin summation (lot's of references).

    Or are you trying to understand how to apply Faulhaber's in a given situation? It's just plug and chug, but you'll need to know what the Bernoulli numbers are (again, lots of references)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Number theory
  1. Number Theory? (Replies: 1)

  2. Number Theory? (Replies: 6)

  3. Number Theory (Replies: 18)

  4. Number theory (Replies: 1)

  5. Number theory (Replies: 5)